Fast Convergence Root Finding Algorithm
The Newton-Raphson method is a powerful iterative technique for finding successively better approximations to the roots of a real-valued function. It uses the function's derivative to converge quadratically to the root, making it one of the fastest root-finding algorithms when it converges.
Requirements: The function must be differentiable, and the derivative should not be zero near the root. A good initial guess is crucial for convergence.